• DocumentCode
    1084626
  • Title

    On the convergence of an EM-type algorithm for penalized likelihood estimation in emission tomography

  • Author

    De Pierro, Alvaro R.

  • Author_Institution
    Dept. of Appl. Math., State Univ. of Campinas, Brazil
  • Volume
    14
  • Issue
    4
  • fYear
    1995
  • fDate
    12/1/1995 12:00:00 AM
  • Firstpage
    762
  • Lastpage
    765
  • Abstract
    Recently, we proposed an extension of the expectation maximization (EM) algorithm that was able to handle regularization terms in a natural way. Although very general, convergence proofs were not valid for many possibly useful regularizations. We present here a simple convergence result that is valid assuming only continuous differentiability of the penalty term and can be also extended to other methods for penalized likelihood estimation in tomography
  • Keywords
    convergence of numerical methods; emission tomography; maximum likelihood estimation; positron emission tomography; EM-type algorithm; continuous differentiability; convergence; convergence proofs; emission tomography; expectation maximization algorithm; penalized likelihood estimation; penalty term; regularization terms; regularizations; simple convergence result; Convergence; Detectors; Image reconstruction; Mathematics; Maximum likelihood detection; Maximum likelihood estimation; Positron emission tomography;
  • fLanguage
    English
  • Journal_Title
    Medical Imaging, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0278-0062
  • Type

    jour

  • DOI
    10.1109/42.476119
  • Filename
    476119